Text Box: This page was created by Daniel Chai, University of Waikato Management School with small fixes by Kurt Hess

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Binomial Option Calculator with continuous dividend yield
The stock providing a continuous dividend yield at rate q can easily be adapted to valuing American and European option price. Here shows the Binomial Tree model with continuous dividend yield. 

Comparing with the valuation of Binomial Tree model on  European option with continuous dividend yield with Black & Scholes model, the European option shows on average higher values than calculated with the Black & Scholes model.

View a tree visualization below

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European call  European put  American call  American put 
Input parameters Result
Stock price (S) $ Option price (P) $
Strike price (X) $
Years to maturity (T) Year
Risk free rate (R) %
Number of steps Steps
Dividend yield (D) %
Volatility (V) %

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Visualized Binomial Tree 

Here shows the visualized Binomial Tree with the parameters set from the option calculator above. The visualized Binomial Tree only show the first five steps. The stock prices are shown in 2 decimal places while option prices are shown in 4 decimal places. 

Run it!!                   press button to reset to default values above:
                   (make sure some values are
                          in the form above)
Time
Steps
Stock price
Option value
Stock price
Option value
Stock price
Option value
Stock price
Option value
Stock price
Option value
Stock price
Option value

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